ECON 111 Lecture Notes - Lecture 5: Price Ceiling, Shortage, Price Floor

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Changes in one market leads to changes in many others (hard to predict) Partial-equilibrium analysis - single market (feedback effects from other markets ignored) General equilibrium analysis - all markets simultaneously, recognizing interactions. Policies attempting to hold price at a disequilibrium value, creating shortage or surplus. Quantity exchanged determined by lesser of quantity demanded or supplied. Finding quantity exchanged requires voluntary market transaction: qd < qs demand determines amount exchanged when qd remains with producer. Binding when set above equilibrium and raises price. Leads to excess supply (unsold surplus or government enters market to buy excess) Good for farmers and workers, allowed to sell at prices above free-market levels. Inelastic demand means producers earn more income in total: losses (selling fewer units) spread across producers. Firms worse off as workers get higher wage. Increase in costs by reducing use of labour. Higher supply of labour than demand for workers.

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Consider the market for new, single-family homes in New Orleans. The general demand function for new housing in New Orleans is estimated to be Qd =15-2P+0.05M+0.10R where Qd is the monthly quantity demanded, P is the price per square foot, M is average monthly income in New Orleans, and R is the average monthly rent for a three-bedroom apartment in New Orleans. Qd is measured in units of 1,000 square feet per month. 1. New housing in New Orleans is a(n) __________________ (normal, inferior) good. How can you tell from the general demand function? 2. New housing and three-bedroom apartments are _________________ (substitutes, comple- ments) in New Orleans. How can you tell from the general demand function? 3. If average monthly income is $1,500 and the monthly rental rate for three-bedroom apart- ments is $700, then the demand function for new housing in New Orleans is Qd = _____________________________________. 4. Graph the demand curve for new housing in New Orleans on the axes provided below. Label the demand curve D0. 5. What happens to demand when the following changes occur? a. b. c. d. e. The price of the commodity rises. Income decreases and the commodity is normal. Income decreases and the commodity is inferior. The price of a complement good increases. The price of a substitute good decreases. The general supply function for new housing in New Orleans is estimated to be Qs =96+2P-10PL -4PK where P is the price per square foot of new housing in New Orleans, PL is the average hourly wage rate for construction workers, and PK is the price of capital (as measured by the average rate of interest paid on loans to home builders). Qs is measured in units of 1,000 square feet per month. 6. Does it make sense for PL and PK to have negative coefficients in the general supply func- tion? Explain why or why not. 7. If the average hourly wage rate for construction workers is $10 per hour and the average rate of interest on loans to builders is 9 percent (i.e., PK = 9), then the supply function for new housing is Qs = ______________________. 8. Graph the supply curve for new housing in the graph below. Label supply S0. 9. Other things remaining the same, what would happen to the supply of a particular commodity if the following changes occur? a. The price of the commodity increases. b. Government regulators outlaw the use of a technology that enables the good to be produced at a significantly lower cost. c. The prices of inputs used to produce the commodity decrease. d. The price of a commodity that is a substitute in production increases. e. Managers expect the price of the good to fall in the near future. f. As the cost of capital rises, firms in the industry stop purchasing plant and equip- ment, which allows depreciation to diminish the productive capacity in the indus- try. 10. Solve mathematically for equilibrium price and quantity. Show your work: PE = $__________ per square foot. QE = __________ square feet per month (in 1,000s). 11. Do your supply and demand curves intersect at PE and QE found in question 8 above? Should they? 12. In equilibrium found in question 8, compute total consumer, producer, and social surpluses: CS = $____________ PS = $____________ SS = $____________ 13. Suppose New Orleans suffers a serious recession that causes average monthly income to fall from $1,500 to $1,100 per month. If other things remain the same, the demand for new hous- ing in New Orleans is now: Qd = _______________________. Plot this new demand curve in the figure below. Label it D'. 14. Suppose that because of the recession in New Orleans, the wage rate for construction workers falls to $8 per hour. If other things remain the same, the supply of new housing in New Orle- ans is now: Qs = _______________________. Plot this new supply curve in the figure. Label the new supply curve S'. 15. After income falls to $1,100 and wages fall to $8, new equilibrium price and quantity are PE = $__________ per square foot QE = __________ square feet per month (in 1,000s) 16. Determine the effect upon equilibrium price and quantity sold if the following events occur in a particular market: a. The price of a substitute good (in consumption) decreases. b. Consumersâ income increases and the good is inferior. c. Government regulators decide to outlaw a cost-reducing technological process in order to protect the environment. d. The price of a complement good (in production) increases. e. The price of inputs used to produce the good decrease. f. Consumers expect that the price of the good will fall in the near future. g. It is widely publicized that consumption of the good is helpful in prevent- ing cancer. h. The price of a substitute good (in production) decreases. 17. Suppose that a pair of events from problem 15 occur simultaneously. For each of the pairs of events indicated below, perform a qualitative analysis to predict the direction of change in either the equilibrium price or the equilibrium quantity. Explain why the change in one of these two variables is indeterminate. a. Both a and h in problem 15 occur simultaneously. b. Both b and e in problem 15 occur simultaneously. c. Both d and g in problem 15 occur simultaneously. d. Both f and c in problem 15 occur simultaneously.

ECON 111 Lecture Notes - Lecture 5: Price Ceiling, Shortage, Price Floor

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